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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SCT117+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:27:48 AM UTC 2026

% Result   : Theorem 178.05s 26.31s
% Output   : CNFRefutation 178.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SCT117+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n003.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sat Sep 26 06:31:09 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 178.05/26.31  % SZS status Theorem for theBenchmark.p
% 178.05/26.31  % SZS output start CNFRefutation for theBenchmark.p
% 178.05/26.31  fof(conj_0, hypothesis, 'v$ux' != 'v$uy').
% 178.05/26.31  fof(conj_1, hypothesis, (! [X0] : ! [X1] : (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') => ! [X2] : (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL'))))) & (! [X0] : ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X0),'v$uL') & ! [X0] : ! [X1] : ((X0 != X1 => ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X0),'v$uL'))))))).
% 178.05/26.31  fof(conj_2, conjecture, (! [X0] : ! [X1] : (((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') & (X0 != 'v$uy' & X1 != 'v$uy')) => ! [X2] : ((((X1 = 'v$ux' & X2 = 'v$uy') => (X0 = 'v$ux' | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$ux'),'v$uL'))) & ((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') & X2 != 'v$uy') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL')) & ((X2 = 'v$uy' & 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$ux'),'v$uL')) => (X0 = 'v$ux' | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$ux'),'v$uL'))))))) & (((X1 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$ux'),'v$uL') & X0 != 'v$uy')) => ! [X2] : ((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X2),'v$uL') & X2 != 'v$uy') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL')))) & ((X0 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X1),'v$uL') & X1 != 'v$uy')) => ! [X2] : (((X1 = 'v$ux' => X2 != 'v$uy') & ((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') & X2 != 'v$uy') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X2),'v$uL')) & (X2 = 'v$uy' => ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$ux'),'v$uL'))))))))) & ! [X0] : ! [X1] : ((X0 != X1 => ((X0 = 'v$ux' & X1 = 'v$uy') | (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') & (X0 != 'v$uy' & X1 != 'v$uy')) | ((X1 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$ux'),'v$uL') & X0 != 'v$uy')) | ((X0 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X1),'v$uL') & X1 != 'v$uy')) | ((X1 = 'v$ux' & X0 = 'v$uy') | (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X0),'v$uL') & (X1 != 'v$uy' & X0 != 'v$uy')) | ((X0 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$ux'),'v$uL') & X1 != 'v$uy')) | (X1 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X0),'v$uL') & X0 != 'v$uy'))))))))))))).
% 178.05/26.31  fof(negated_conjecture, negated_conjecture, ~((! [X0] : ! [X1] : (((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') & (X0 != 'v$uy' & X1 != 'v$uy')) => ! [X2] : ((((X1 = 'v$ux' & X2 = 'v$uy') => (X0 = 'v$ux' | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$ux'),'v$uL'))) & ((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') & X2 != 'v$uy') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL')) & ((X2 = 'v$uy' & 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$ux'),'v$uL')) => (X0 = 'v$ux' | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$ux'),'v$uL'))))))) & (((X1 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$ux'),'v$uL') & X0 != 'v$uy')) => ! [X2] : ((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X2),'v$uL') & X2 != 'v$uy') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL')))) & ((X0 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X1),'v$uL') & X1 != 'v$uy')) => ! [X2] : (((X1 = 'v$ux' => X2 != 'v$uy') & ((('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') & X2 != 'v$uy') => 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X2),'v$uL')) & (X2 = 'v$uy' => ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$ux'),'v$uL'))))))))) & ! [X0] : ! [X1] : ((X0 != X1 => ((X0 = 'v$ux' & X1 = 'v$uy') | (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') & (X0 != 'v$uy' & X1 != 'v$uy')) | ((X1 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$ux'),'v$uL') & X0 != 'v$uy')) | ((X0 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X1),'v$uL') & X1 != 'v$uy')) | ((X1 = 'v$ux' & X0 = 'v$uy') | (('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X0),'v$uL') & (X1 != 'v$uy' & X0 != 'v$uy')) | ((X0 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$ux'),'v$uL') & X1 != 'v$uy')) | (X1 = 'v$uy' & ('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X0),'v$uL') & X0 != 'v$uy'))))))))))))), inference(negate_conjecture, [status(cth)], [conj_2])).
% 178.05/26.31  cnf(c58, plain, 'v$ux' != 'v$uy', inference(clausification, [status(esa)], [conj_0])).
% 178.05/26.31  cnf(c59, plain, ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X2),'v$uL'), inference(clausification, [status(esa)], [conj_1])).
% 178.05/26.31  cnf(c60, plain, ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X0),'v$uL'), inference(clausification, [status(esa)], [conj_1])).
% 178.05/26.31  cnf(c61, plain, X0 = X1 | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X0),'v$uL'), inference(clausification, [status(esa)], [conj_1])).
% 178.05/26.31  cnf(c62, plain, ~X0(sK161,sK162) | ~X1(sK161,sK162) | ~X2(sK161,sK162) | ~X3, inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c63, plain, X0(X1,X2,X3) | X3 = 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c64, plain, X0(X1,X2,X3) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X2,'v$ux'),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c66, plain, X0(X1,X2,X3) | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$ux'),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c67, plain, X0(X1,X2,X3) | X2 = 'v$ux', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c70, plain, X0(X1,X2,X3) | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$ux'),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c71, plain, X0(X1,X2) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c73, plain, X0(X1,X2) | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X2),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c74, plain, X0(X1,X2) | X1 = 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c75, plain, X0(X1,X2) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X2),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c78, plain, X0(X1,X2) | X2 = 'v$ux' | ~X3(X2,sK163(X2)) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X2,'v$ux'),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c81, plain, X0(X1,X2) | X2 = 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c82, plain, X0(X1,X2) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,'v$ux'),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c83, plain, X0(X1,X2) | X1 != 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c84, plain, X0(X1,X2) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',sK164(X1)),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c86, plain, X0(X1,X2) | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,sK164(X1)),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c87, plain, X0(X1,X2) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X2),'v$uL'), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c88, plain, X0(X1,X2) | X1 != 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c89, plain, X0(X1,X2) | X2 != 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c90, plain, X0(X1,X2) | ~X3(X1,X2,sK165(X2,X1)) | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X2,sK165(X2,X1)),'v$uL') | ~X4(X1,X2,sK165(X2,X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c92, plain, X0(X1,X2) | ~X3(X1,X2,sK165(X2,X1)) | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,sK165(X2,X1)),'v$uL') | ~X4(X1,X2,sK165(X2,X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c93, plain, X0 | sK166 != sK167, inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c94, plain, X0 | sK166 != 'v$ux' | sK167 != 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c95, plain, X0 | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK166,sK167),'v$uL') | sK166 = 'v$uy' | sK167 = 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c96, plain, X0 | sK167 != 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK166,'v$ux'),'v$uL') | sK166 = 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c97, plain, X0 | sK166 != 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',sK167),'v$uL') | sK167 = 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c98, plain, X0 | sK167 != 'v$ux' | sK166 != 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c99, plain, X0 | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK167,sK166),'v$uL') | sK167 = 'v$uy' | sK166 = 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c100, plain, X0 | sK166 != 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK167,'v$ux'),'v$uL') | sK167 = 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(c101, plain, X0 | sK167 != 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',sK166),'v$uL') | sK166 = 'v$uy', inference(clausification, [status(esa)], [negated_conjecture])).
% 178.05/26.31  cnf(d0, plain, sK167 = sK166 | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK167,sK166),'v$uL') | sK166 = 'v$uy' | sK167 = 'v$uy' | 'Ts160', inference(resolution, [status(thm)], [c61,c95])).
% 178.05/26.31  cnf(d1, plain, sK166 = 'v$uy' | sK167 = 'v$uy' | sK167 = sK166 | 'Ts160' | sK166 = 'v$uy' | sK167 = 'v$uy' | 'Ts160', inference(resolution, [status(thm)], [d0,c99])).
% 178.05/26.31  cnf(d2, plain, sK166 != sK166 | 'Ts160' | sK166 = 'v$uy' | sK167 = 'v$uy' | 'Ts160', inference(superposition, [status(thm)], [d1,c93])).
% 178.05/26.31  cnf(d3, plain, sK166 = 'v$uy' | sK167 = 'v$uy' | 'Ts160', inference(equality_resolution, [status(thm)], [d2])).
% 178.05/26.31  cnf(d4, plain, 'v$uy' != 'v$uy' | sK166 = 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',sK166),'v$uL') | 'Ts160' | sK166 = 'v$uy' | 'Ts160', inference(superposition, [status(thm)], [d3,c101])).
% 178.05/26.31  cnf(d5, plain, sK166 = 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',sK166),'v$uL') | 'Ts160', inference(equality_resolution, [status(thm)], [d4])).
% 178.05/26.31  cnf(d6, plain, 'v$uy' != 'v$uy' | sK166 = 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK166,'v$ux'),'v$uL') | 'Ts160' | sK166 = 'v$uy' | 'Ts160', inference(superposition, [status(thm)], [d3,c96])).
% 178.05/26.31  cnf(d7, plain, sK166 = 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK166,'v$ux'),'v$uL') | 'Ts160', inference(equality_resolution, [status(thm)], [d6])).
% 178.05/26.31  cnf(d8, plain, sK166 = 'v$uy' | 'Ts160' | 'v$ux' = sK166 | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',sK166),'v$uL'), inference(resolution, [status(thm)], [d7,c61])).
% 178.05/26.31  cnf(d9, plain, 'v$ux' = sK166 | sK166 = 'v$uy' | 'Ts160' | sK166 = 'v$uy' | 'Ts160', inference(resolution, [status(thm)], [d8,d5])).
% 178.05/26.31  cnf(d10, plain, 'v$uy' != 'v$uy' | sK167 = 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',sK167),'v$uL') | 'Ts160' | 'v$ux' = sK166 | 'Ts160', inference(superposition, [status(thm)], [d9,c97])).
% 178.05/26.31  cnf(d11, plain, 'v$ux' = sK166 | sK167 = 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',sK167),'v$uL') | 'Ts160', inference(equality_resolution, [status(thm)], [d10])).
% 178.05/26.31  cnf(d12, plain, 'v$uy' != 'v$uy' | sK167 = 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK167,'v$ux'),'v$uL') | 'Ts160' | 'v$ux' = sK166 | 'Ts160', inference(superposition, [status(thm)], [d9,c100])).
% 178.05/26.31  cnf(d13, plain, 'v$ux' = sK166 | sK167 = 'v$uy' | ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',sK167,'v$ux'),'v$uL') | 'Ts160', inference(equality_resolution, [status(thm)], [d12])).
% 178.05/26.31  cnf(d14, plain, 'v$ux' = sK166 | sK167 = 'v$uy' | 'Ts160' | 'v$ux' = sK167 | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',sK167),'v$uL'), inference(resolution, [status(thm)], [d13,c61])).
% 178.05/26.31  cnf(d15, plain, 'v$ux' = sK166 | 'v$ux' = sK167 | sK167 = 'v$uy' | 'Ts160' | 'v$ux' = sK166 | sK167 = 'v$uy' | 'Ts160', inference(resolution, [status(thm)], [d14,d11])).
% 178.05/26.31  cnf(d16, plain, sK166 != 'v$uy' | 'Ts160' | 'v$ux' = sK166 | 'v$ux' = sK167 | 'Ts160', inference(superposition, [status(thm)], [d15,c93])).
% 178.05/26.31  cnf(d17, plain, 'v$uy' != 'v$uy' | 'v$ux' = sK166 | 'v$ux' = sK167 | 'Ts160' | 'v$ux' = sK166 | 'Ts160', inference(superposition, [status(thm)], [d9,d16])).
% 178.05/26.31  cnf(d18, plain, 'v$ux' = sK166 | 'v$ux' = sK167 | 'Ts160', inference(equality_resolution, [status(thm)], [d17])).
% 178.05/26.31  cnf(d19, plain, 'v$ux' != 'v$ux' | sK166 != 'v$uy' | 'Ts160' | 'v$ux' = sK166 | 'Ts160', inference(superposition, [status(thm)], [d18,c98])).
% 178.05/26.31  cnf(d20, plain, 'v$uy' != 'v$uy' | 'v$ux' != 'v$ux' | 'v$ux' = sK166 | 'Ts160' | 'v$ux' = sK166 | 'Ts160', inference(superposition, [status(thm)], [d9,d19])).
% 178.05/26.31  cnf(d21, plain, 'v$ux' != 'v$ux' | 'v$ux' = sK166 | 'Ts160', inference(equality_resolution, [status(thm)], [d20])).
% 178.05/26.31  cnf(d22, plain, 'v$ux' = sK166 | 'Ts160', inference(equality_resolution, [status(thm)], [d21])).
% 178.05/26.31  cnf(d23, plain, 'v$uy' != 'v$uy' | sK166 != 'v$ux' | 'Ts160' | sK166 = 'v$uy' | 'Ts160', inference(superposition, [status(thm)], [d3,c94])).
% 178.05/26.31  cnf(d24, plain, 'v$ux' != 'v$ux' | 'v$uy' != 'v$uy' | sK166 = 'v$uy' | 'Ts160' | 'Ts160', inference(superposition, [status(thm)], [d22,d23])).
% 178.05/26.31  cnf(d25, plain, 'v$ux' != 'v$ux' | sK166 = 'v$uy' | 'Ts160', inference(equality_resolution, [status(thm)], [d24])).
% 178.05/26.31  cnf(d26, plain, sK166 = 'v$uy' | 'Ts160', inference(equality_resolution, [status(thm)], [d25])).
% 178.05/26.31  cnf(d27, plain, 'v$ux' = 'v$uy' | 'Ts160' | 'Ts160', inference(superposition, [status(thm)], [d26,d22])).
% 178.05/26.31  cnf(d28, plain, 'Ts160', inference(resolution, [status(thm)], [c58,d27])).
% 178.05/26.31  cnf(d29, plain, ~'Ts158'(sK161,sK162) | ~'Ts157'(sK161,sK162) | ~'Ts159'(sK161,sK162), inference(resolution, [status(thm)], [d28,c62])).
% 178.05/26.31  cnf(d30, plain, 'Ts154'(X0,X1,X2) | 'Ts158'(X0,X3), inference(resolution, [status(thm)], [c66,c82])).
% 178.05/26.31  cnf(d31, plain, ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X2,X1),'v$uL') | 'Ts159'(X2,X0), inference(resolution, [status(thm)], [c59,c87])).
% 178.05/26.31  cnf(d32, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,sK165(X1,X2)),'v$uL') | 'Ts159'(X0,X1) | 'Ts159'(X2,X1) | ~'Ts154'(X2,X1,sK165(X1,X2)) | ~'Ts155'(X2,X1,sK165(X1,X2)), inference(resolution, [status(thm)], [d31,c90])).
% 178.05/26.31  cnf(d33, plain, 'Ts159'(X0,X1) | 'Ts159'(X0,X1) | ~'Ts154'(X0,X1,sK165(X1,X0)) | ~'Ts155'(X0,X1,sK165(X1,X0)) | 'Ts159'(X0,X1) | ~'Ts154'(X0,X1,sK165(X1,X0)) | ~'Ts155'(X0,X1,sK165(X1,X0)), inference(resolution, [status(thm)], [d32,c92])).
% 178.05/26.31  cnf(d34, plain, 'Ts159'(X0,X1) | ~'Ts154'(X0,X1,sK165(X1,X0)) | X1 = 'v$ux', inference(resolution, [status(thm)], [d33,c67])).
% 178.05/26.31  cnf(d35, plain, X0 = 'v$ux' | 'Ts159'(X1,X0) | 'Ts158'(X1,X2), inference(resolution, [status(thm)], [d34,d30])).
% 178.05/26.31  cnf(d36, plain, sK162 = 'v$ux' | 'Ts158'(sK161,X0) | ~'Ts158'(sK161,sK162) | ~'Ts157'(sK161,sK162), inference(resolution, [status(thm)], [d35,d29])).
% 178.05/26.31  cnf(d37, plain, sK162 = 'v$ux' | 'Ts158'(sK161,X0) | ~'Ts158'(sK161,sK162) | sK161 = 'v$uy', inference(resolution, [status(thm)], [d36,c74])).
% 178.05/26.31  cnf(d38, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | 'Ts158'(sK161,X0) | sK162 = 'v$uy', inference(resolution, [status(thm)], [d37,c81])).
% 178.05/26.31  cnf(d39, plain, ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,X1),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X1),'v$uL') | 'Ts157'(X2,X0), inference(resolution, [status(thm)], [c59,c75])).
% 178.05/26.31  cnf(d40, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux','v$ux'),'v$uL') | 'Ts157'(X0,X1) | 'Ts154'(X2,X1,X3), inference(resolution, [status(thm)], [d39,c64])).
% 178.05/26.31  cnf(d41, plain, 'Ts157'(X0,X1) | 'Ts154'(X2,X1,X3), inference(resolution, [status(thm)], [c60,d40])).
% 178.05/26.31  cnf(d42, plain, X0 = 'v$ux' | 'Ts159'(X1,X0) | 'Ts157'(X2,X0), inference(resolution, [status(thm)], [d34,d41])).
% 178.05/26.31  cnf(d43, plain, sK162 = 'v$ux' | 'Ts157'(X0,sK162) | ~'Ts158'(sK161,sK162) | ~'Ts157'(sK161,sK162), inference(resolution, [status(thm)], [d42,d29])).
% 178.05/26.31  cnf(d44, plain, sK162 = 'v$ux' | ~'Ts158'(sK161,sK162) | 'Ts157'(X0,sK162) | sK161 = 'v$uy', inference(resolution, [status(thm)], [d43,c74])).
% 178.05/26.31  cnf(d45, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | 'Ts157'(X0,sK162) | sK162 = 'v$uy', inference(resolution, [status(thm)], [d44,c81])).
% 178.05/26.31  cnf(d46, plain, X0 = 'v$ux' | 'Ts159'(X1,X0) | sK165(X0,X1) = 'v$uy', inference(resolution, [status(thm)], [d34,c63])).
% 178.05/26.31  cnf(d47, plain, ~'Ts154'(X1,X0,'v$uy') | X0 = 'v$ux' | 'Ts159'(X1,X0) | X0 = 'v$ux' | 'Ts159'(X1,X0), inference(superposition, [status(thm)], [d46,d34])).
% 178.05/26.31  cnf(d48, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,'v$ux'),'v$uL') | 'Ts159'(X0,X1) | 'Ts154'(X2,X1,X3), inference(resolution, [status(thm)], [d31,c64])).
% 178.05/26.31  cnf(d49, plain, 'Ts159'(X0,X1) | 'Ts154'(X2,X1,X3) | 'Ts154'(X0,X4,X5), inference(resolution, [status(thm)], [d48,c66])).
% 178.05/26.31  cnf(d50, plain, X0 = 'v$ux' | 'Ts159'(X1,X0) | 'Ts159'(X1,X2) | 'Ts154'(X3,X2,X4), inference(resolution, [status(thm)], [d34,d49])).
% 178.05/26.31  cnf(d51, plain, X0 = 'v$ux' | 'Ts159'(X1,X2) | 'Ts159'(X1,X0) | X2 = 'v$ux' | 'Ts159'(X3,X2), inference(resolution, [status(thm)], [d50,d47])).
% 178.05/26.31  cnf(d52, plain, X0 = 'v$ux' | sK162 = 'v$ux' | 'Ts159'(X1,X0) | 'Ts159'(sK161,X0) | ~'Ts158'(sK161,sK162) | ~'Ts157'(sK161,sK162), inference(resolution, [status(thm)], [d51,d29])).
% 178.05/26.31  cnf(d53, plain, X0 = 'v$ux' | sK162 = 'v$ux' | ~'Ts158'(sK161,sK162) | 'Ts159'(X1,X0) | 'Ts159'(sK161,X0) | sK161 = 'v$uy', inference(resolution, [status(thm)], [d52,c74])).
% 178.05/26.31  cnf(d54, plain, X0 = 'v$ux' | sK161 = 'v$uy' | sK162 = 'v$ux' | 'Ts159'(X1,X0) | 'Ts159'(sK161,X0) | sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy', inference(resolution, [status(thm)], [d53,d38])).
% 178.05/26.31  cnf(d55, plain, sK162 = 'v$ux' | sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy' | 'Ts159'(X0,sK162) | ~'Ts158'(sK161,sK162) | ~'Ts157'(sK161,sK162), inference(resolution, [status(thm)], [d54,d29])).
% 178.05/26.31  cnf(d56, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy' | ~'Ts158'(sK161,sK162) | 'Ts159'(X0,sK162) | sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy', inference(resolution, [status(thm)], [d55,d45])).
% 178.05/26.31  cnf(d57, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy' | 'Ts159'(X0,sK162) | sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy', inference(resolution, [status(thm)], [d56,d38])).
% 178.05/26.31  cnf(d58, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy' | ~'Ts158'(sK161,sK162) | ~'Ts157'(sK161,sK162), inference(resolution, [status(thm)], [d57,d29])).
% 178.05/26.31  cnf(d59, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy' | ~'Ts158'(sK161,sK162) | sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy', inference(resolution, [status(thm)], [d58,d45])).
% 178.05/26.31  cnf(d60, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy' | sK161 = 'v$uy' | sK162 = 'v$ux' | sK162 = 'v$uy', inference(resolution, [status(thm)], [d59,d38])).
% 178.05/26.31  cnf(d61, plain, ~'Ts159'(sK161,'v$uy') | ~'Ts158'(sK161,sK162) | ~'Ts157'(sK161,sK162) | sK161 = 'v$uy' | sK162 = 'v$ux', inference(superposition, [status(thm)], [d60,d29])).
% 178.05/26.31  cnf(d62, plain, 'Ts159'(X0,'v$uy'), inference(equality_resolution, [status(thm)], [c89])).
% 178.05/26.31  cnf(d63, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | ~'Ts158'(sK161,sK162) | ~'Ts157'(sK161,sK162), inference(resolution, [status(thm)], [d62,d61])).
% 178.05/26.31  cnf(d64, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | ~'Ts158'(sK161,sK162) | sK161 = 'v$uy', inference(resolution, [status(thm)], [d63,c74])).
% 178.05/26.31  cnf(d65, plain, ~'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X0),'v$uL') | 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X1,X0),'v$uL') | 'Ts158'(X1,X2), inference(resolution, [status(thm)], [c59,c82])).
% 178.05/26.31  cnf(d66, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt',X0,sK164(X1)),'v$uL') | 'Ts158'(X0,X2) | 'Ts158'(X1,X3), inference(resolution, [status(thm)], [d65,c84])).
% 178.05/26.31  cnf(d67, plain, 'Ts158'(X0,X1) | 'Ts158'(X0,X2) | 'Ts158'(X0,X3), inference(resolution, [status(thm)], [d66,c86])).
% 178.05/26.31  cnf(d68, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | 'Ts158'(sK161,X0) | 'Ts158'(sK161,X1), inference(resolution, [status(thm)], [d64,d67])).
% 178.05/26.31  cnf(d69, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | 'Ts158'(sK161,X0) | sK161 = 'v$uy' | sK162 = 'v$ux', inference(resolution, [status(thm)], [d68,d64])).
% 178.05/26.31  cnf(d70, plain, sK161 = 'v$uy' | sK162 = 'v$ux' | sK161 = 'v$uy' | sK162 = 'v$ux', inference(resolution, [status(thm)], [d69,d64])).
% 178.05/26.31  cnf(d71, plain, ~'Ts159'(sK161,'v$ux') | ~'Ts158'(sK161,sK162) | ~'Ts157'(sK161,sK162) | sK161 = 'v$uy', inference(superposition, [status(thm)], [d70,d29])).
% 178.05/26.31  cnf(d72, plain, 'Ts154'(X0,'v$ux',X1), inference(resolution, [status(thm)], [c60,c64])).
% 178.05/26.31  cnf(d73, plain, 'Ts155'(X0,X1,X2) | 'Ts159'(X0,'v$ux'), inference(resolution, [status(thm)], [c70,c87])).
% 178.05/26.31  cnf(d74, plain, 'Ts159'(X0,X1) | ~'Ts154'(X0,X1,sK165(X1,X0)) | 'Ts159'(X0,'v$ux'), inference(resolution, [status(thm)], [d33,d73])).
% 178.05/26.31  cnf(d75, plain, 'Ts159'(X0,'v$ux') | 'Ts159'(X0,'v$ux'), inference(resolution, [status(thm)], [d74,d72])).
% 178.05/26.31  cnf(d76, plain, sK161 = 'v$uy' | ~'Ts158'(sK161,sK162) | ~'Ts157'(sK161,sK162), inference(resolution, [status(thm)], [d75,d71])).
% 178.05/26.31  cnf(d77, plain, sK161 = 'v$uy' | ~'Ts158'(sK161,sK162) | sK161 = 'v$uy', inference(resolution, [status(thm)], [d76,c74])).
% 178.05/26.31  cnf(d78, plain, sK161 = 'v$uy' | sK162 = 'v$uy', inference(resolution, [status(thm)], [d77,c81])).
% 178.05/26.31  cnf(d79, plain, 'v$ux' = 'v$uy' | sK161 = 'v$uy' | sK161 = 'v$uy', inference(superposition, [status(thm)], [d70,d78])).
% 178.05/26.31  cnf(d80, plain, sK161 = 'v$uy', inference(resolution, [status(thm)], [c58,d79])).
% 178.05/26.31  cnf(d81, plain, ~'Ts158'('v$uy',sK162) | ~'Ts157'(sK161,sK162) | ~'Ts159'(sK161,sK162), inference(demodulation, [status(thm)], [d29,d80])).
% 178.05/26.31  cnf(d82, plain, ~'Ts158'('v$uy',sK162) | ~'Ts157'('v$uy',sK162) | ~'Ts159'(sK161,sK162), inference(demodulation, [status(thm)], [d81,d80])).
% 178.05/26.31  cnf(d83, plain, ~'Ts158'('v$uy',sK162) | ~'Ts157'('v$uy',sK162) | ~'Ts159'('v$uy',sK162), inference(demodulation, [status(thm)], [d82,d80])).
% 178.05/26.31  cnf(d84, plain, 'Ts158'('v$uy',X0), inference(equality_resolution, [status(thm)], [c83])).
% 178.05/26.31  cnf(d85, plain, ~'Ts157'('v$uy',sK162) | ~'Ts159'('v$uy',sK162), inference(resolution, [status(thm)], [d84,d83])).
% 178.05/26.31  cnf(d86, plain, 'Ts159'('v$uy',X0), inference(equality_resolution, [status(thm)], [c88])).
% 178.05/26.31  cnf(d87, plain, ~'Ts157'('v$uy',sK162), inference(resolution, [status(thm)], [d86,d85])).
% 178.05/26.31  cnf(d88, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux','v$ux'),'v$uL') | 'Ts157'(X0,X1) | X1 = 'v$ux' | 'Ts157'(X2,X1) | ~'Ts156'(X1,sK163(X1)), inference(resolution, [status(thm)], [d39,c78])).
% 178.05/26.31  cnf(d89, plain, X0 = 'v$ux' | 'Ts157'(X1,X0) | 'Ts157'(X2,X0) | ~'Ts156'(X0,sK163(X0)), inference(resolution, [status(thm)], [c60,d88])).
% 178.05/26.31  cnf(d90, plain, 'c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','v$ux',X0),'v$uL') | 'Ts157'(X1,X2) | 'Ts156'(X2,X0), inference(resolution, [status(thm)], [d39,c71])).
% 178.05/26.31  cnf(d91, plain, 'Ts157'(X0,X1) | 'Ts156'(X1,X2) | 'Ts156'(X3,X2), inference(resolution, [status(thm)], [d90,c73])).
% 178.05/26.31  cnf(d92, plain, X0 = 'v$ux' | 'Ts157'(X1,X0) | 'Ts157'(X2,X0) | 'Ts157'(X3,X0) | 'Ts156'(X4,sK163(X0)), inference(resolution, [status(thm)], [d89,d91])).
% 178.05/26.31  cnf(d93, plain, X0 = 'v$ux' | 'Ts157'(X1,X0) | 'Ts157'(X2,X0) | 'Ts157'(X3,X0) | X0 = 'v$ux' | 'Ts157'(X4,X0) | 'Ts157'(X5,X0), inference(resolution, [status(thm)], [d92,d89])).
% 178.05/26.31  cnf(d94, plain, sK162 = 'v$ux' | 'Ts157'(X0,sK162) | 'Ts157'(X1,sK162) | 'Ts157'(X2,sK162) | 'Ts157'(X3,sK162), inference(resolution, [status(thm)], [d87,d93])).
% 178.05/26.31  cnf(d95, plain, sK162 = 'v$ux' | 'Ts157'(X0,sK162) | 'Ts157'(X1,sK162) | 'Ts157'(X2,sK162), inference(resolution, [status(thm)], [d94,d87])).
% 178.05/26.31  cnf(d96, plain, sK162 = 'v$ux' | 'Ts157'(X0,sK162) | 'Ts157'(X1,sK162), inference(resolution, [status(thm)], [d95,d87])).
% 178.05/26.31  cnf(d97, plain, sK162 = 'v$ux' | 'Ts157'(X0,sK162), inference(resolution, [status(thm)], [d96,d87])).
% 178.05/26.31  cnf(d98, plain, sK162 = 'v$ux', inference(resolution, [status(thm)], [d97,d87])).
% 178.05/26.31  cnf(d99, plain, ~'Ts157'('v$uy','v$ux'), inference(demodulation, [status(thm)], [d87,d98])).
% 178.05/26.31  cnf(d100, plain, 'Ts157'(X0,'v$ux'), inference(resolution, [status(thm)], [c60,c75])).
% 178.05/26.31  cnf(d101, plain, $false, inference(resolution, [status(thm)], [d100,d99])).
% 178.05/26.31  % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------